shuffle_assign.py

import random
def shuffle_assign(total, num):
	remain = total - num
	assert remain >= 0
	points = []
	for i in range(1, num):
		point = random.randint(0, remain)
		points.append(point)
	points.append(remain)
	points.sort()

	for i in reversed(range(1, num)):
		points[i] = points[i] - points[i - 1]

	return [x + 1 for x in points]

from collections import Counter
c = Counter()
for x in range(10000):
	parts = shuffle_assign(60, 5)
	for i, v in enumerate(parts, 1):
		c[i] += v
print(c)
print(shuffle_assign(20, 5))